(1) Relative terms of the first kind are numerically related
either indefinitely or definitely, to numbers themselves or to 1. E.g.
the double is in a definite numerical relation to 1, and that which is
'many times as great' is in a numerical, but not a definite,
relation to 1, i.e. not in this or in that numerical relation to it;
the relation of that which is half as big again as something else to
that something is a definite numerical relation to a number; that
which is n+I/n times something else is in an indefinite relation to
that something, as that which is 'many times as great' is in an
indefinite relation to 1; the relation of that which exceeds to that
which is exceeded is numerically quite indefinite; for number is
always commensurate, and 'number' is not predicated of that which is
not commensurate, but that which exceeds is, in relation to that which
is exceeded, so much and something more; and this something is
indefinite; for it can, indifferently, be either equal or not equal to
that which is exceeded.-All these relations, then, are numerically
expressed and are determinations of number, and so in another way
are the equal and the like and the same. For all refer to unity. Those
things are the same whose substance is one; those are like whose
quality is one; those are equal whose quantity is one; and 1 is the
beginning and measure of number, so that all these relations imply
number, though not in the same way.
(2) Things that are active or passive imply an active or a passive
potency and the actualizations of the potencies; e.
Pages:
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142